The move is retroactive to Thursday, one day after Wood was rocked for six runs on eight hits in 4 1/3 innings of a 9-4 loss to the Pittsburgh Pirates.
Wood, 32, is 1-1 with a 4.80 ERA in eight games (seven starts) this season. This is Wood's second trip to the injured list in 2023; he missed three weeks with a strained left hamstring over April and May.
The Giants recalled right-hander Tristan Beck from Triple-A Sacramento in a corresponding move.
Beck, 26, has a 4.10 ERA with one save and no decisions in 10 relief appearances this season for the Giants.
Reuters contributed to this report.